Abstract
Population models with a compartment structure have to incorporate the duration of stay in each class. Using a two-compartment model of the regulation of blood cell production, we investigate two elimination mechanisms: a “random”, constant rate destruction process, and a lifespan of finite duration. The limiting cases of each death mechanism alone are considered in turn, and the dynamics are compared to the full model, from the point of view of the equilibrium solutions, and their (local) asymptotic stability. The crucial quantity not to be neglected is seen to be the maturation time in the precursors’ compartment.
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Dedicated to Kenneth Cooke on the occasion of his 65th birthyear
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© 1991 Springer-Verlag Berlin Heidelberg
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Bélair, J. (1991). Lifespans in Population Models: Using Time Delays. In: Busenberg, S., Martelli, M. (eds) Differential Equations Models in Biology, Epidemiology and Ecology. Lecture Notes in Biomathematics, vol 92. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45692-3_2
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DOI: https://doi.org/10.1007/978-3-642-45692-3_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54283-4
Online ISBN: 978-3-642-45692-3
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